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Finding the Fourth Proportional to 13,565.40, 20,345.02 and 4,800.31

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Solution

The fourth proportional to 13,565.40, 20,345.02 and 4,800.31 is: 7,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.40 : 20,345.02 = 4,800.31 : x
  2. Step 2: Convert to fraction form
    13,565.40/20,345.02 = 4,800.31/x
  3. Step 3: Cross multiply
    13,565.40x = 20,345.02 × 4,800.31
  4. Step 4: Simplify right side
    13,565.40x = 97,662,481.54
  5. Step 5: Solve for x
    x = 97,662,481.54/13,565.40
  6. Step 6: Final answer
    x = 7,199.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.